Full length article: A universality theorem for ratios of random characteristic polynomials

  • Authors:

  • Jonathan Breuer;Eugene Strahov

  • Affiliations:

  • -;-

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2012

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Abstract

We consider asymptotics of ratios of random characteristic polynomials associated with orthogonal polynomial ensembles. Under some natural conditions on the measure in the definition of the orthogonal polynomial ensemble we establish a universality limit for these ratios.